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10326420 = 22335131471
BaseRepresentation
bin100111011001…
…000110010100
3201102122012000
4213121012110
510120421140
61005155300
7153526116
oct47310624
921378160
1010326420
115913435
12355bb30
1321a7310
14152b3b6
15d8ea30
hex9d9194

10326420 has 96 divisors (see below), whose sum is σ = 34621440. Its totient is φ = 2540160.

The previous prime is 10326419. The next prime is 10326427. The reversal of 10326420 is 2462301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10326393 and 10326402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10326427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6285 + ... + 7755.

It is an arithmetic number, because the mean of its divisors is an integer number (360640).

Almost surely, 210326420 is an apocalyptic number.

10326420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10326420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310720).

10326420 is an abundant number, since it is smaller than the sum of its proper divisors (24295020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10326420 is a wasteful number, since it uses less digits than its factorization.

10326420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10326420 is about 3213.4747548409. The cubic root of 10326420 is about 217.7625841669.

Adding to 10326420 its reverse (2462301), we get a palindrome (12788721).

The spelling of 10326420 in words is "ten million, three hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1471 1755 2340 2942 3510 4413 5884 7020 7355 8826 13239 14710 17652 19123 22065 26478 29420 38246 39717 44130 52956 57369 66195 76492 79434 88260 95615 114738 132390 158868 172107 191230 198585 229476 264780 286845 344214 382460 397170 516321 573690 688428 794340 860535 1032642 1147380 1721070 2065284 2581605 3442140 5163210 10326420